My Math Forum Water Manifold Puzzle

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 October 12th, 2018, 10:17 PM #1 Newbie   Joined: Oct 2018 From: California Posts: 1 Thanks: 0 Water Manifold Puzzle So you've got three pipes coming from three different water sources (1,2,3) and three pipes leading to three different water demands (a,b,c). You need to design a manifold (a bunch of pipes and valves connecting it all together) such that by opening and closing valves, any single source can supply any demand (or demands) without preventing any other of the sources from supplying any remaining demand (or demands) AT THE SAME TIME. No demand will ever need more than ONE source, but ALL OTHER COMBINATIONS/CONFIGURATIONS MUST BE POSSIBLE. Examples: 1 supplies a, 2 supplies b, 3 supplies c. 2 supplies a, 3 supplies b, 1 supplies c. 1 supplies a and b, 2 supplies c. 2 supplies b and c, 3 supplies a. 3 supplies a and c, 2 supplies b. 3 supplies a,b,and c. etc., etc., etc. You can use any type and number of pipe connections (three-way "T", four-way, etc.) and as many VALVES as necessary, but the challenge is to design this manifold with the FEWEST NUMBER OF VALVES POSSIBLE. Because valves are expensive. Last edited by skipjack; November 7th, 2018 at 08:57 PM.
 November 7th, 2018, 09:12 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,969 Thanks: 2219 Can a diverter valve be used?

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